magardibosh107 magardibosh107

03-11-2020
Mathematics

contestada

Let a * b = 3a + 2b for a, b e Z. Verify that * is a
commutative binary operation on Z.
[2]

Respuesta :

LammettHash LammettHash

04-11-2020

It's not commutative:

a * b = 3a + 2b

but

b * a = 3b + 2a

We have equality only for

3a + 2b = 3b + 2a → a = b

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